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Motion in Straight Line
Question
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A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward, and so on. Each step is 1 m long and requires 1 s. Plot the x-t graph of his motion. Determine graphically and otherwise how long the drunkard takes to fall in a pit 13 m away from the start.

Answer

Length of 1 step taken by drunkard = 1 m

Time to take 1 step = 1 sec 

So, the speed of the drunkard = 1 m/s 

When he walk 5 steps forward, its position is 5m at time 5s.
After walking 3 steps backward, the position of drunkard at 8 sec becomes 2m. 

Time, t (sec) Distance, x (m)
5 5
8 2
13 7
16 9
24 6

So, the position- time graph is as shown in figure. 

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Some More Questions From Motion in Straight Line Chapter

What is the most essential thing to study the motion of a body?

Can a body be always at rest in some frame?

Can a body be in motion in the frame associated with the body itself?

When an object in motion can be considered as particle or point object?

Can you think of physical phenomena involving the moon in which moon cannot be treated as particle?

A train is crossing the bridge. Can it be taken as a particle?

Can a train be taken a particle? Give an example in support of your answer.

 A particle is moving along curved line in space. Is the motion one dimensional?

State which of the following are examples of one, two or three dimensional motion: 

(a) A kite flying in the sky.

(b) The earth revolving around the sun. 

(c) A train moving along the equator of the earth in clockwise direction. 

(d) Accelerated motion of a particle in a straight line.

Define distance.